The orbit of Earth around the Sun is almost circular:The closest and farthest distances are 1.47 * 10^8 km and 1.52 * 10^8 kmrespectively. Determine the corresponding variations in (a) totalenergy, (b) gravitational potential energy, (c) kinetic energy, and(d) orbital speed. (Hint: Use conservation of energy and conservationof angular momentum.)

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A: Given- Mass of satellite, ms = 20000 kg = 2 ×104 kg Length of path l = 3 x 108 m Gravitational…

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A: Given: Mass of Mars, M=6.4×1023 kg Radius of mars, rM=3.4×106  m Rotation period, t=24.7 h Orbital…

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Q: A satellite of mass 175 kg is launched from a site on Earth's equator into an orbit at 180 km above…

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Q: At what altitude above Earth's surface would the gravitational acceleration be 3.5 m/s??

A: Given: Gravitational acceleration, a = 3.5 m/s2.   To Find: The altitude at which the Gravitational…

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A: We have Given here, Mass of Satellite = 500 kg, Time to complete one revolution about the earth = 23…

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A: Mass of earth (M) = 5.98×1024 kg G = 6.67×10-11 N-m2kg2Radius of earth (R) = 6×106 m Time period for…

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Q: 2.31 For an earth satellite, the specific angular momentum is 70, 000 km²/s and the specific energy…

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A: Given: mass of shuttle craft m = 4500 kg Mass of planet M = 9.70*1025 kg radius of circular orbit r…

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A: Recall Gravitational force between two masses=Gm1m2/r2 Where m1 ,m2 are masses and r distance…

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A: F=GmM/R2 ac =  v2/R. v= √(GM/R) v=4578.5 m/s

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A: Given: Mass of spaceship, m = 1 X104 kg Height of spaceship = 800 km Apogee , d = 3 X 104 km Mass of…

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Q: A uniform solid sphere of radius R produces a gravitational acceleration of ag on its surface. At…

A: Given: A uniform solid sphere of radius R produces a gravitational acceleration of ag on its…

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A: Given values-  Mass of satellite  =m=500 kgAltitude=h=1×106 m Gravitational…

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Q: Ina shuttle craft of mass m = 4500 kg, Captain Janeway orbits a planet of mass M = 9.70 x 1025 kg,…

A: NOTE: According to the guidelines only 3 sub parts will be answered and for remaining ,please post…

Q: The orbit of Earth around the Sun is almost circular: The closest and farthest distances are 1.47 x…

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Q: A space vehicle is launched vertically upward from the Earth's surface with an initial speed of 7.35…

A: Given data:Initial speed of the space vehicle, Vi = 7.35 km/s = 7.35 x 103 m/sEscape speed, Vesc =…

Q: A rocket with mass 5.00×103 kgkg is in a circular orbit of radius 7.50×106 mm around the earth. The…

A: Given :     mass of rocket, m = 5.00*103 kg    First radius, r1 = 7.50*106 m   second radius,r2 =…

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.